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Mathematical Sciences Classification System

11-XX - Number theory

• 7
  11-00
  General reference works (handbooks, dictionaries, bibliographies, etc.)
• 210
  11-01
  Instructional exposition (textbooks, tutorial papers, etc.)
• 10
  11-02
  Research exposition (monographs, survey articles)
• 107
  11-03
  Historical (must also be assigned at least one classification number from Section 01)
• 13
  11-04
  Explicit machine computation and programs (not the theory of computation or programming)
• 267
  11-06
  Proceedings, conferences, collections, etc.
• 53
  (+45)
  11Axx
  Elementary number theory
  {For analogues in number fields, see 11R04}
• 37
  (+42)
  11Bxx
  Sequences and sets
• 4
  (+6)
  11Cxx
  Polynomials and matrices
• 48
  (+35)
  11Dxx
  Diophantine equations
  [See also 11Gxx, 14Gxx]
• 36
  (+30)
  11Exx
  Forms and linear algebraic groups
  [See also 19Gxx]
  {For quadratic forms in linear algebra, see 15A63}
• 137
  (+106)
  11Fxx
  Discontinuous groups and automorphic forms
  [See also 11R39, 11S37, 14Gxx, 14Kxx, 22E50, 22E55, 30F35, 32Nxx]
  {For relations with quadratic forms, see 11E45}
• 131
  (+81)
  11Gxx
  Arithmetic algebraic geometry (Diophantine geometry)
  [See also 11Dxx, 14Gxx, 14Kxx]
• 14
  (+7)
  11Hxx
  Geometry of numbers
  {For applications in coding theory, see 94B75}
• 45
  (+31)
  11Jxx
  Diophantine approximation, transcendental number theory
  [See also 11K60]
• 34
  (+29)
  11Kxx
  Probabilistic theory: distribution modulo $1$; metric theory of algorithms
• 13
  (+6)
  11Lxx
  Exponential sums and character sums
  {For finite fields, see 11Txx}
• 89
  (+50)
  11Mxx
  Zeta and $L$-functions: analytic theory
• 36
  (+28)
  11Nxx
  Multiplicative number theory
• 22
  (+21)
  11Pxx
  Additive number theory; partitions
• 86
  (+71)
  11Rxx
  Algebraic number theory: global fields
  {For complex multiplication, see 11G15}
• 40
  (+21)
  11Sxx
  Algebraic number theory: local and $p$-adic fields
• 35
  (+90)
  11Txx
  Finite fields and commutative rings (number-theoretic aspects)
• 4
  (+4)
  11Uxx
  Connections with logic
• 40
  (+31)
  11Yxx
  Computational number theory
  [See also 11-04]
• 3
  11Zxx
  Miscellaneous applications of number theory